{"id":"https://openalex.org/W2175851206","doi":"https://doi.org/10.1145/2808227","title":"Regular Languages Are Church-Rosser Congruential","display_name":"Regular Languages Are Church-Rosser Congruential","publication_year":2015,"publication_date":"2015-11-02","ids":{"openalex":"https://openalex.org/W2175851206","doi":"https://doi.org/10.1145/2808227","mag":"2175851206"},"language":"en","primary_location":{"id":"doi:10.1145/2808227","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2808227","pdf_url":null,"source":{"id":"https://openalex.org/S118992489","display_name":"Journal of the ACM","issn_l":"0004-5411","issn":["0004-5411","1557-735X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of the ACM","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://dspace.lboro.ac.uk/2134/31954","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5054093863","display_name":"Volker Diekert","orcid":"https://orcid.org/0000-0002-5994-3762"},"institutions":[{"id":"https://openalex.org/I100066346","display_name":"University of Stuttgart","ror":"https://ror.org/04vnq7t77","country_code":"DE","type":"education","lineage":["https://openalex.org/I100066346"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Volker Diekert","raw_affiliation_strings":["University of Stuttgart"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Stuttgart","institution_ids":["https://openalex.org/I100066346"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5055386769","display_name":"Manfred Kufleitner","orcid":"https://orcid.org/0000-0003-3869-416X"},"institutions":[{"id":"https://openalex.org/I100066346","display_name":"University of Stuttgart","ror":"https://ror.org/04vnq7t77","country_code":"DE","type":"education","lineage":["https://openalex.org/I100066346"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Manfred Kufleitner","raw_affiliation_strings":["University of Stuttgart"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Stuttgart","institution_ids":["https://openalex.org/I100066346"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5081549293","display_name":"Klaus Reinhardt","orcid":"https://orcid.org/0000-0001-7200-4594"},"institutions":[{"id":"https://openalex.org/I8087733","display_name":"University of T\u00fcbingen","ror":"https://ror.org/03a1kwz48","country_code":"DE","type":"education","lineage":["https://openalex.org/I8087733"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Klaus Reinhardt","raw_affiliation_strings":["University of T\u00fcbingen"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of T\u00fcbingen","institution_ids":["https://openalex.org/I8087733"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5030598415","display_name":"Tobias Walter","orcid":null},"institutions":[{"id":"https://openalex.org/I100066346","display_name":"University of Stuttgart","ror":"https://ror.org/04vnq7t77","country_code":"DE","type":"education","lineage":["https://openalex.org/I100066346"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Tobias Walter","raw_affiliation_strings":["University of Stuttgart"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Stuttgart","institution_ids":["https://openalex.org/I100066346"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5054093863"],"corresponding_institution_ids":["https://openalex.org/I100066346"],"apc_list":null,"apc_paid":null,"fwci":2.1803,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.88423003,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"62","issue":"5","first_page":"1","last_page":"20"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11567","display_name":"semigroups and automata theory","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11567","display_name":"semigroups and automata theory","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10181","display_name":"Natural Language Processing Techniques","score":0.9980999827384949,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11269","display_name":"Algorithms and Data Compression","score":0.9957000017166138,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6526527404785156},{"id":"https://openalex.org/keywords/rewriting","display_name":"Rewriting","score":0.5609527230262756},{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.5208154916763306},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4988253116607666},{"id":"https://openalex.org/keywords/regular-language","display_name":"Regular language","score":0.49282458424568176},{"id":"https://openalex.org/keywords/congruence","display_name":"Congruence (geometry)","score":0.47737571597099304},{"id":"https://openalex.org/keywords/modulo","display_name":"Modulo","score":0.4693045914173126},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.46224331855773926},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3508281111717224},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.24483788013458252},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.16621309518814087},{"id":"https://openalex.org/keywords/automaton","display_name":"Automaton","score":0.15300434827804565},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.10136324167251587}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6526527404785156},{"id":"https://openalex.org/C154690210","wikidata":"https://www.wikidata.org/wiki/Q1668499","display_name":"Rewriting","level":2,"score":0.5609527230262756},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.5208154916763306},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4988253116607666},{"id":"https://openalex.org/C52370388","wikidata":"https://www.wikidata.org/wiki/Q752532","display_name":"Regular language","level":3,"score":0.49282458424568176},{"id":"https://openalex.org/C132074034","wikidata":"https://www.wikidata.org/wiki/Q154210","display_name":"Congruence (geometry)","level":2,"score":0.47737571597099304},{"id":"https://openalex.org/C54732982","wikidata":"https://www.wikidata.org/wiki/Q1415345","display_name":"Modulo","level":2,"score":0.4693045914173126},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.46224331855773926},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3508281111717224},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.24483788013458252},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.16621309518814087},{"id":"https://openalex.org/C112505250","wikidata":"https://www.wikidata.org/wiki/Q787116","display_name":"Automaton","level":2,"score":0.15300434827804565},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.10136324167251587},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1145/2808227","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2808227","pdf_url":null,"source":{"id":"https://openalex.org/S118992489","display_name":"Journal of the ACM","issn_l":"0004-5411","issn":["0004-5411","1557-735X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of the ACM","raw_type":"journal-article"},{"id":"pmh:oai:dspace.lboro.ac.uk:2134/31954","is_oa":true,"landing_page_url":"https://dspace.lboro.ac.uk/2134/31954","pdf_url":null,"source":{"id":"https://openalex.org/S4306401023","display_name":"Loughborough University Institutional Repository (Loughborough University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I143804889","host_organization_name":"Loughborough University","host_organization_lineage":["https://openalex.org/I143804889"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"}],"best_oa_location":{"id":"pmh:oai:dspace.lboro.ac.uk:2134/31954","is_oa":true,"landing_page_url":"https://dspace.lboro.ac.uk/2134/31954","pdf_url":null,"source":{"id":"https://openalex.org/S4306401023","display_name":"Loughborough University Institutional Repository (Loughborough University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I143804889","host_organization_name":"Loughborough University","host_organization_lineage":["https://openalex.org/I143804889"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"},"sustainable_development_goals":[{"score":0.7699999809265137,"id":"https://metadata.un.org/sdg/4","display_name":"Quality Education"}],"awards":[{"id":"https://openalex.org/G260443357","display_name":null,"funder_award_id":"DI 435/5-1","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"}],"funders":[{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W3242420","https://openalex.org/W67747506","https://openalex.org/W128453691","https://openalex.org/W1480641178","https://openalex.org/W1496412704","https://openalex.org/W1514324498","https://openalex.org/W1594760788","https://openalex.org/W1663164787","https://openalex.org/W1975372170","https://openalex.org/W1984896712","https://openalex.org/W2009852886","https://openalex.org/W2023860477","https://openalex.org/W2030946431","https://openalex.org/W2057834256","https://openalex.org/W2106878575","https://openalex.org/W2155704531","https://openalex.org/W2274187329","https://openalex.org/W4231199984","https://openalex.org/W4285719527","https://openalex.org/W4302964898"],"related_works":["https://openalex.org/W4386363566","https://openalex.org/W1548342449","https://openalex.org/W4312716460","https://openalex.org/W1462102326","https://openalex.org/W4289712982","https://openalex.org/W4255293094","https://openalex.org/W2177850703","https://openalex.org/W2180384927","https://openalex.org/W2007473230","https://openalex.org/W4205262698"],"abstract_inverted_index":{"This":[0],"article":[1,107],"shows":[2],"a":[3,16,20,58,70,109],"general":[4],"result":[5],"about":[6],"finite":[7,71],"monoids":[8],"and":[9,45,61,117],"weight":[10],"reducing":[11],"string":[12],"rewriting":[13],"systems.":[14],"As":[15],"consequence":[17],"it":[18,120],"proves":[19],"long":[21],"standing":[22],"conjecture":[23,96],"in":[24,47],"formal":[25],"language":[26,50,113],"theory:":[27],"All":[28],"regular":[29,100,115],"languages":[30,39,88,101],"are":[31,84,90,102],"Church-Rosser":[32,37,53,92,123],"congruential.":[33,124],"The":[34,106],"class":[35],"of":[36,73,103,130],"congruential":[38,54],"was":[40,80,97,135],"introduced":[41],"by":[42],"McNaughton,":[43],"Narendran,":[44],"Otto":[46],"1988.":[48],"A":[49,112],"L":[51,68],"is":[52,69,114,121,126],"if":[55,116,119],"there":[56,83],"exists":[57],"finite,":[59],"confluent,":[60],"length-reducing":[62],"semi-Thue":[63],"system":[64],"S":[65,77],"such":[66],"that":[67,82,98],"union":[72],"congruence":[74],"classes":[75],"modulo":[76],".":[78],"It":[79,125],"known":[81],"deterministic":[85],"linear":[86],"context-free":[87],"which":[89,134],"not":[91],"congruential,":[93],"but":[94],"the":[95,127,131],"all":[99],"this":[104],"form.":[105],"offers":[108],"stronger":[110],"statement:":[111],"only":[118],"strongly":[122],"journal":[128],"version":[129],"conference":[132],"abstract":[133],"presented":[136],"at":[137],"ICALP":[138],"2012.":[139]},"counts_by_year":[{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}